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Finding the Fourth Proportional to 354,301, 488,954.82 and 203,407.72

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Solution

The fourth proportional to 354,301, 488,954.82 and 203,407.72 is: 280,713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,301 : 488,954.82 = 203,407.72 : x
  2. Step 2: Convert to fraction form
    354,301/488,954.82 = 203,407.72/x
  3. Step 3: Cross multiply
    354,301x = 488,954.82 × 203,407.72
  4. Step 4: Simplify right side
    354,301x = 99,457,185,119.21
  5. Step 5: Solve for x
    x = 99,457,185,119.21/354,301
  6. Step 6: Final answer
    x = 280,713.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.